Information on Result #1699663
Linear OOA(2160, 209715, F2, 8, 16) (dual of [(209715, 8), 1677560, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2160, 209715, F2, 5, 16) (dual of [(209715, 5), 1048415, 17]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2160, 1048575, F2, 16) (dual of [1048575, 1048415, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2160, 1048576, F2, 16) (dual of [1048576, 1048416, 17]-code), using
- 1 times truncation [i] based on linear OA(2161, 1048577, F2, 17) (dual of [1048577, 1048416, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 240−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2161, 1048577, F2, 17) (dual of [1048577, 1048416, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2160, 1048576, F2, 16) (dual of [1048576, 1048416, 17]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2160, 209714, F2, 24, 16) (dual of [(209714, 24), 5032976, 17]-NRT-code) | [i] | OOA Stacking with Additional Row | |